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Finding the Third Proportional to 295,320.94 and 458,161.31

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Solution

The third proportional to 295,320.94 and 458,161.31 is: 710,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,320.94 : 458,161.31 = 458,161.31 : x
  2. Step 2: Convert to fraction form
    295,320.94/458,161.31 = 458,161.31/x
  3. Step 3: Cross multiply
    295,320.94x = 458,161.31 × 458,161.31
  4. Step 4: Simplify right side
    295,320.94x = 209,911,788,271.72
  5. Step 5: Solve for x
    x = 209,911,788,271.72/295,320.94
  6. Step 6: Final answer
    x = 710,792.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.